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Simplifying 5(n + -4) = 3n + 2 Reorder the terms: 5(-4 + n) = 3n + 2 (-4 * 5 + n * 5) = 3n + 2 (-20 + 5n) = 3n + 2 Reorder the terms: -20 + 5n = 2 + 3n Solving -20 + 5n = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -20 + 5n + -3n = 2 + 3n + -3n Combine like terms: 5n + -3n = 2n -20 + 2n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 -20 + 2n = 2 + 0 -20 + 2n = 2 Add '20' to each side of the equation. -20 + 20 + 2n = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 2n = 2 + 20 2n = 2 + 20 Combine like terms: 2 + 20 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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